Finding the Third Proportional to 100.38 and 218.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100.38 : 218.25 = 218.25 : x
2. Step 2: Convert to fraction form
   100.38/218.25 = 218.25/x
3. Step 3: Cross multiply
   100.38x = 218.25 × 218.25
4. Step 4: Simplify right side
   100.38x = 47,633.06
5. Step 5: Solve for x
   x = 47,633.06/100.38
6. Step 6: Final answer
   x = 474.55